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ISSN : 1226-0657

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Vol.16 No.4

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TOTALLY UMBILIC SPACELIKE SURFACES OF TYPE (I) IN Lⁿ

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2009, v.16 no.4, pp.417-425
Hong, Seong-Kowan
Hong,, S. (2009). TOTALLY UMBILIC SPACELIKE SURFACES OF TYPE (I) IN Lⁿ. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 16(4), 417-425.

Abstract

In this paper we show that spheres in <TEX>$E^3{\subset}L^n$</TEX> and pseudohyperbolic spaces in <TEX>$L^3{\subset}L^n$</TEX> are the only totally umbilic spacelike surfaces of type (I) in <TEX>$L^n$</TEX>.

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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